A line passing through the point `A(2,0)` makes `30^0` angle with the positive direction of `x-a xi s` . If this line is rotated through an angle of `15^0` in clockwise direction, find its equation in new position.

Explanation

Given line through `A(2,0)` makes `30^0` with the positive direction of the `x-`axis


When the line is rotated the new angle is `15^0`.


Slope, `m = tan 15 = 2 – sqrt3`

Thus,

Equation of line with slope m and passing through `A(2, 0)` is

By two point formula,

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